Reducible conformal minimal immersions with constant curvature from \(S^2\) to \(Q_6\)

DOI10.3770/j.issn:2095-2651.2024.06.009MaRDI QIDQ6646479

Mingyue Li, Xiaoxiang Jiao

Publication date: 2 December 2024

Published in: Journal of Mathematical Research with Applications (Search for Journal in Brave)

zbMATH Keywords

second fundamental formconstant curvatureconformal minimal immersionisotropy order

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• On conformal minimal immersions of two-spheres in a complex hyperquadric with parallel second fundamental form
• Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_3\)
• Pseudo-holomorphic curves of constant curvature in complex Grassmannians
• The construction of harmonic maps into complex Grassmannians
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• Conformal minimal immersions with constant curvature from \(S^2\) to \(Q_{5}\)
• Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_n\)
• Conformal minimal two-spheres in \(Q_2\)
• Isometric imbedding of complex manifolds
• Rigidity of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_4\)
• Minimal Surfaces of Constant Curvature in S n
• The explicit construction of all harmonic two-spheres in G2 (Rn).
• Rigidity of Pseudo-Holomorphic Curves of Constant Curvature in Grassmann Manifolds
• On the Construction of Harmonic Maps into a Grassmannian

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